The general solution can be written as the sum of particular solutions where the dependence of \(v_1\)  on time is of the form \(e^{-i\omega t}\) . There is still no theoretical basis for a mathematical solution of the stability of flow about finite dimension bodies plunged in a rotating fluid (eg. [1]}, [2]}, [3]}). Only experiments show that flow stability depends on the relative value of the Reynolds number (\(R\) ), each type of flow having its critical Reynolds number (\(R_c\) ), beyond which instability sets in (cf. [4]}. It is still difficult to solve turbulent flows other than in the case of concentric cylinders (e.g. [5]}, [6]}, [7]}, [8]}, [9]}, [10]}, [11]}). But fortunately, this is useful in the case of atmospheric and oceanic flows on the spherical Earth, as is suggested (among other evidence) by the annular structures shown in Figure 5 to Figure 7.
